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Consider the following steady, three-dimensional velocity

Chapter 4, Problem 79P

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QUESTION:

Problem 79P

Consider the following steady, three-dimensional velocity field:

Calculate the vorticity vector as a function of space (x, y, z).

Questions & Answers

QUESTION:

Problem 79P

Consider the following steady, three-dimensional velocity field:

Calculate the vorticity vector as a function of space (x, y, z).

ANSWER:

Solution 79P

We are given the velocity vector. We need to calculate the vorticity vector from this as a function of (x,y,z). The vorticity vector and velocity vector are related as

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